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Finding the Fourth Proportional to 106,693.74, 160,040.73 and 27,807.90

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Solution

The fourth proportional to 106,693.74, 160,040.73 and 27,807.90 is: 41,711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,693.74 : 160,040.73 = 27,807.90 : x
  2. Step 2: Convert to fraction form
    106,693.74/160,040.73 = 27,807.90/x
  3. Step 3: Cross multiply
    106,693.74x = 160,040.73 × 27,807.90
  4. Step 4: Simplify right side
    106,693.74x = 4,450,396,615.77
  5. Step 5: Solve for x
    x = 4,450,396,615.77/106,693.74
  6. Step 6: Final answer
    x = 41,711.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.